Local Zeta Regularization And The Scalar Casimir Effect A General Approach Based On Integral Kernels
DOWNLOAD
Download Local Zeta Regularization And The Scalar Casimir Effect A General Approach Based On Integral Kernels PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Local Zeta Regularization And The Scalar Casimir Effect A General Approach Based On Integral Kernels book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Local Zeta Regularization And The Scalar Casimir Effect A General Approach Based On Integral Kernels
DOWNLOAD
Author : Davide Fermi
language : en
Publisher: World Scientific
Release Date : 2017-10-06
Local Zeta Regularization And The Scalar Casimir Effect A General Approach Based On Integral Kernels written by Davide Fermi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-06 with Science categories.
Zeta regularization is a method to treat the divergent quantities appearing in several areas of mathematical physics and, in particular, in quantum field theory; it is based on the fascinating idea that a finite value can be ascribed to a formally divergent expression via analytic continuation with respect to a complex regulating parameter.This book provides a thorough overview of zeta regularization for the vacuum expectation values of the most relevant observables of a quantized, neutral scalar field in Minkowski spacetime; the field can be confined to a spatial domain, with suitable boundary conditions, and an external potential is possibly present. Zeta regularization is performed in this framework for both local and global observables, like the stress-energy tensor and the total energy; the analysis of their vacuum expectation values accounts for the Casimir physics of the system. The analytic continuation process required in this setting by zeta regularization is deeply linked to some integral kernels; these are determined by the fundamental elliptic operator appearing in the evolution equation for the quantum field. The book provides a systematic illustration of these connections, devised as a toolbox for explicit computations in specific configurations; many examples are presented. A comprehensive account is given of the existing literature on this subject, including the previous work of the authors.The book will be useful to anyone interested in a mathematically sound description of quantum vacuum effects, from graduate students to scientists working in this area.
Advances In Quantum Mechanics
DOWNLOAD
Author : Alessandro Michelangeli
language : en
Publisher: Springer
Release Date : 2017-08-01
Advances In Quantum Mechanics written by Alessandro Michelangeli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-01 with Mathematics categories.
This volume collects recent contributions on the contemporary trends in the mathematics of quantum mechanics, and more specifically in mathematical problems arising in quantum many-body dynamics, quantum graph theory, cold atoms, unitary gases, with particular emphasis on the developments of the specific mathematical tools needed, including: linear and non-linear Schrödinger equations, topological invariants, non-commutative geometry, resonances and operator extension theory, among others. Most of contributors are international leading experts or respected young researchers in mathematical physics, PDE, and operator theory. All their material is the fruit of recent studies that have already become a reference in the community. Offering a unified perspective of the mathematics of quantum mechanics, it is a valuable resource for researchers in the field.
Journal Of Physics
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2001
Journal Of Physics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematical physics categories.
Energy Research Abstracts
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1990
Energy Research Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Power resources categories.
Zeta Regularization Techniques With Applications
DOWNLOAD
Author : E. Elizalde
language : en
Publisher: World Scientific
Release Date : 1994
Zeta Regularization Techniques With Applications written by E. Elizalde and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
This book is the result of several years of work by the authors on different aspects of zeta functions and related topics. The aim is twofold. On one hand, a considerable number of useful formulas, essential for dealing with the different aspects of zeta-function regularization (analytic continuation, asymptotic expansions), many of which appear here, in book format, for the first time are presented. On the other hand, the authors show explicitly how to make use of such formulas and techniques in practical applications to physical problems of very different nature. Virtually all types of zeta functions are dealt with in the book.
Solvable Models In Quantum Mechanics
DOWNLOAD
Author : Sergio Albeverio
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Solvable Models In Quantum Mechanics written by Sergio Albeverio and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Next to the harmonic oscillator and the Coulomb potential the class of two-body models with point interactions is the only one where complete solutions are available. All mathematical and physical quantities can be calculated explicitly which makes this field of research important also for more complicated and realistic models in quantum mechanics. The detailed results allow their implementation in numerical codes to analyse properties of alloys, impurities, crystals and other features in solid state quantum physics. This monograph presents in a systematic way the mathematical approach and unifies results obtained in recent years. The student with a sound background in mathematics will get a deeper understanding of Schrödinger Operators and will see many examples which may eventually be used with profit in courses on quantum mechanics and solid state physics. The book has textbook potential in mathematical physics and is suitable for additional reading in various fields of theoretical quantum physics.
High Energy Physics Index
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1989
High Energy Physics Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Nuclear physics categories.
Mathematical Reviews
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2001
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Semiclassical And Stochastic Gravity
DOWNLOAD
Author : Bei-Lok B. Hu
language : en
Publisher: Cambridge University Press
Release Date : 2020-03-05
Semiclassical And Stochastic Gravity written by Bei-Lok B. Hu and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-05 with Science categories.
An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.
The Casimir Effect
DOWNLOAD
Author : K. A. Milton
language : en
Publisher: World Scientific
Release Date : 2001
The Casimir Effect written by K. A. Milton and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
In its simplest manifestation, the Casimir effect is a quantum force of attraction between two parallel uncharged conducting plates. More generally, it refers to the interaction OCo which may be either attractive or repulsive OCo between material bodies due to quantum fluctuations in whatever fields are relevant. It is a local version of the van der Waals force between molecules. Its sweep ranges from perhaps its being the origin of the cosmological constant to its being responsible for the confinement of quarks. This monograph develops the theory of such forces, based primarily on physically transparent Green''s function techniques, and makes applications from quarks to the cosmos, as well as observable consequences in condensed matter systems. It is aimed at graduate students and researchers in theoretical physics, quantum field theory, and applied mathematics. Contents: Introduction to the Casimir Effect; Casimir Force Between Parallel Plates; Casimir Force Between Parallel Dielectrics; Casimir Effect with Perfect Spherical; The Casimir Effect of a Dielectric Ball: The Equivalence of the Casimir Effect and van der Waals Forces; Application to Hadronic Physics: Zero-Point Energy in the Bag Model; Casimir Effect in Cylindrical Geometries; Casimir Effect in Two Dimensions: The Maxwell-Chern-Simons Casimir Effect; Casimir Effect on a D -dimensional Sphere; Cosmological Implications of the Casimir Effect; Local Effects; Sonoluminescene and the Dynamical Casimir Effect; Radiative Corrections to the Casimir Effect; Conclusions and Outlook; Appendices: Relation of Contour Integral Method to Green''s Function Approach; Casimir Effect for a Closed String. Readership: High-energy, condensed-matter and nuclear physicists."